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Positive Trigonometric Polynomials and Signal Processing Applications [electronic resource] / by Bogdan Dumitrescu.

By: Contributor(s): Material type: TextTextSeries: Signals and Communication TechnologyPublisher: Dordrecht : Springer Netherlands, 2007Description: XIV, 241 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781402051258
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 519 23
LOC classification:
  • TA329-348
  • TA640-643
Online resources:
Contents:
POSITIVE POLYNOMIALS -- GRAM MATRIX REPRESENTATION -- MULTIVARIATE POLYNOMIALS -- POLYNOMIALS POSITIVE ON DOMAINS -- DESIGN OF FIR FILTERS -- ORTHOGONAL FILTERBANKS -- STABILITY -- DESIGN OF IIR FILTERS.
In: Springer eBooksSummary: Positive Trigonometric Polynomials and Signal Processing Applications has two parts: theory and applications. The theory of sum-of-squares trigonometric polynomials is presented unitarily based on the concept of Gram matrix (extended to Gram pair or Gram set). The presentation starts by giving the main results for univariate polynomials, which are later extended and generalized for multivariate polynomials. The applications part is organized as a collection of related problems that use systematically the theoretical results. All the problems are brought to a semidefinite programming form, ready to be solved with algorithms freely available, like those from the library SeDuMi.
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Item type Current library Call number Status Date due Barcode
E-Book E-Book Central Library Available E-38550

POSITIVE POLYNOMIALS -- GRAM MATRIX REPRESENTATION -- MULTIVARIATE POLYNOMIALS -- POLYNOMIALS POSITIVE ON DOMAINS -- DESIGN OF FIR FILTERS -- ORTHOGONAL FILTERBANKS -- STABILITY -- DESIGN OF IIR FILTERS.

Positive Trigonometric Polynomials and Signal Processing Applications has two parts: theory and applications. The theory of sum-of-squares trigonometric polynomials is presented unitarily based on the concept of Gram matrix (extended to Gram pair or Gram set). The presentation starts by giving the main results for univariate polynomials, which are later extended and generalized for multivariate polynomials. The applications part is organized as a collection of related problems that use systematically the theoretical results. All the problems are brought to a semidefinite programming form, ready to be solved with algorithms freely available, like those from the library SeDuMi.

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